Least Common Multiple of 9923/873, 2952/4590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9923/873, 2952/4590 quickly i.e. 3254744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9923/873, 2952/4590 is 3254744.

LCM(9923/873, 2952/4590) = 3254744

LCM of 9923/873, 2952/4590

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9923/873,2952/4590

Given numbers are 9923/873,2952/4590

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9923,2952

Least Common Multiple of Numerators i.e. LCM of 9923,2952 is 29292696.

GCF of Denominators means GCF of 873,4590 as per the given fractions.

GCF of 873,4590 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9923,2952

LCM of Fractions 9923/873,2952/4590 is 3254744

Given numbers has no common factors except 1. So, there LCM is their product i.e 29292696

Least Common Multiple of 9923,2952 with GCF Formula

Least Common Multiple of 9923,2952 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9923,2952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9923,2952) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9923,2952) x common factors =1 x 1 = 1

LCM(9923,2952) = ( 9923 × 2952 ) / 1

LCM(9923,2952) = 29292696 / 1

LCM(9923,2952) = 29292696


Lets's calculate GCF of 873,4590

3 873, 4590
3 291, 1530
97, 510

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29292696/9

Therefore the LCM of Fractions 9923/873,2952/4590 is 3254744

Greatest Common Factor of 873,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,4590 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 873,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 873,4590 is 9.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9923/873, 2952/4590

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9923/873, 2952/4590?

Answer: LCM of Numerators as per given numbers 9923/873, 2952/4590 is

LCM of Numerators i.e. for 9923,2952 is 29292696

GCF of denominators i.e. for 873,4590 is 9.

Thus, LCM of Fractions is 3254744.Finally, LCM of Fractions for 9923/873, 2952/4590 is 3254744.